130765259520 has 1728 divisors, whose sum is σ = 589260672000. Its totient is φ = 27088846848.

The previous prime is 130765259507. The next prime is 130765259561. The reversal of 130765259520 is 25952567031.

130765259520 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 52 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1199681226 + ... + 1199681334.

Almost surely, 2^130765259520 is an apocalyptic number.

130765259520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130765259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336000).

130765259520 is an abundant number, since it is smaller than the sum of its proper divisors (458495412480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130765259520 is a wasteful number, since it uses less digits than its factorization.

130765259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 130765259520 in words is "one hundred thirty billion, seven hundred sixty-five million, two hundred fifty-nine thousand, five hundred twenty".